A paper gave summary quantities for blood lead level (in micrograms per deciliter) for a sample of whites and a sample of African Americans. Data consistent with the given summary quantities is given below.Whites (W)8.30.92.95.65.85.41.21.01.42.11.35.38.46.65.23.42.92.76.73.6 African Americans (AA)4.81.40.910.82.40.65.05.46.12.95.02.17.53.413.61.43.73.314.83.9 (a)Calculate the values of the mean and the median for blood lead level for the sample of African Americans.meanmedian (b)Which of the mean or the median is larger? What characteristic of the data set explains the relative values of the mean and the median?The median is greater than the mean. This is explained by the fact that the distribution is positively skewed.The mean is greater than the median. This is explained by the fact that the distribution is positively skewed. The median is greater than the mean. This is explained by the fact that the distribution is negatively skewed.The mean is greater than the median. This is explained by the fact that the distribution is negatively skewed.(c)Construct a comparative boxplot for blood lead level for the two samples.The box-and-whisker plot has a vertical axis numbered from 0 to 15. The box-and-whisker is also vertical. The boxplot labeled "AA" occurs next. The bottom whisker is approximately 0.9, the bottom edge of the box is approximately 1.75, the line inside the box is approximately 3.5, the top edge of the box is approximately 5.7, and the top whisker is approximately 8.4. The boxplot labeled "W" occurs next. The bottom whisker is approximately 0.6, the bottom edge of the box is approximately 2.25, the line inside the box is approximately 3.8, the top edge of the box is approximately 5.75, and the top whisker is approximately 10.8. There are 2 outliers located at 13.6 and 14.8. The box-and-whisker plot has a vertical axis numbered from 0 to 15. The box-and-whisker is also vertical. The boxplot labeled "AA" occurs next. The bottom whisker is approximately 1.1, the bottom edge of the box is approximately 1.75, the line inside the box is approximately 4.2, the top edge of the box is approximately 5.7, and the top whisker is approximately 8.4. The boxplot labeled "W" occurs next. The bottom whisker is approximately 0.6, the bottom edge of the box is approximately 2.1, the line inside the box is approximately 4.15, the top edge of the box is approximately 5.75, and the top whisker is approximately 10.8. There are 2 outliers located at 13.6 and 14.8. The box-and-whisker plot has a vertical axis numbered from 0 to 15. The box-and-whisker is also vertical. The boxplot labeled "AA" occurs next. The bottom whisker is approximately 0.6, the bottom edge of the box is approximately 2.25, the line inside the box is approximately 3.8, the top edge of the box is approximately 5.75, and the top whisker is approximately 10.8. There are 2 outliers located at 13.6 and 14.8. The boxplot labeled "W" occurs next. The bottom whisker is approximately 0.9, the bottom edge of the box is approximately 1.75, the line inside the box is approximately 3.5, the top edge of the box is approximately 5.7, and the top whisker is approximately 8.4. The box-and-whisker plot has a vertical axis numbered from 0 to 15. The box-and-whisker is also vertical. The boxplot labeled "AA" occurs next. The bottom whisker is approximately 0.6, the bottom edge of the box is approximately 2.1, the line inside the box is approximately 4.15, the top edge of the box is approximately 5.75, and the top whisker is approximately 10.8. There are 2 outliers located at 13.6 and 14.8. The boxplot labeled "W" occurs next. The bottom whisker is approximately 1.1, the bottom edge of the box is approximately 1.75, the line inside the box is approximately 4.2, the top edge of the box is approximately 5.7, and the top whisker is approximately 8.4.(d)Write a few sentences comparing the blood lead level distributions for the two samples. (Select all that apply.)Both distributions seem to be negatively skewed.There are two outliers in the data set for the African AmericansThe median blood lead level for the African Americans is slightly lower than for the Whites.The median blood lead level for the African Americans is slightly higher than for the Whites.Both distributions seem to be positively skewed.The distribution for the African Americans shows a greater range than the distribution for the WhitesThe distribution for the Whites shows a greater range than the distribution for the African Americans.

Question

A paper gave summary quantities for blood lead level (in micrograms per deciliter) for a sample of whites and a sample of African Americans. Data consistent with the given summary quantities is given below.Whites (W)8.30.92.95.65.85.41.21.01.42.11.35.38.46.65.23.42.92.76.73.6 African Americans (AA)4.81.40.910.82.40.65.05.46.12.95.02.17.53.413.61.43.73.314.83.9  (a)Calculate the values of the mean and the median for blood lead level for the sample of African Americans.meanmedian    (b)Which of the mean or the median is larger? What characteristic of the data set explains the relative values of the mean and the median?The median is greater than the mean. This is explained by the fact that the distribution is positively skewed.The mean is greater than the median. This is explained by the fact that the distribution is positively skewed.    The median is greater than the mean. This is explained by the fact that the distribution is negatively skewed.The mean is greater than the median. This is explained by the fact that the distribution is negatively skewed.(c)Construct a comparative boxplot for blood lead level for the two samples.The box-and-whisker plot has a vertical axis numbered from 0 to 15. The box-and-whisker is also vertical. The boxplot labeled &#34;AA&#34; occurs next. The bottom whisker is approximately 0.9, the bottom edge of the box is approximately 1.75, the line inside the box is approximately 3.5, the top edge of the box is approximately 5.7, and the top whisker is approximately 8.4. The boxplot labeled &#34;W&#34; occurs next. The bottom whisker is approximately 0.6, the bottom edge of the box is approximately 2.25, the line inside the box is approximately 3.8, the top edge of the box is approximately 5.75, and the top whisker is approximately 10.8. There are 2 outliers located at 13.6 and 14.8. The box-and-whisker plot has a vertical axis numbered from 0 to 15. The box-and-whisker is also vertical. The boxplot labeled &#34;AA&#34; occurs next. The bottom whisker is approximately 1.1, the bottom edge of the box is approximately 1.75, the line inside the box is approximately 4.2, the top edge of the box is approximately 5.7, and the top whisker is approximately 8.4. The boxplot labeled &#34;W&#34; occurs next. The bottom whisker is approximately 0.6, the bottom edge of the box is approximately 2.1, the line inside the box is approximately 4.15, the top edge of the box is approximately 5.75, and the top whisker is approximately 10.8. There are 2 outliers located at 13.6 and 14.8. The box-and-whisker plot has a vertical axis numbered from 0 to 15. The box-and-whisker is also vertical. The boxplot labeled &#34;AA&#34; occurs next. The bottom whisker is approximately 0.6, the bottom edge of the box is approximately 2.25, the line inside the box is approximately 3.8, the top edge of the box is approximately 5.75, and the top whisker is approximately 10.8. There are 2 outliers located at 13.6 and 14.8. The boxplot labeled &#34;W&#34; occurs next. The bottom whisker is approximately 0.9, the bottom edge of the box is approximately 1.75, the line inside the box is approximately 3.5, the top edge of the box is approximately 5.7, and the top whisker is approximately 8.4. The box-and-whisker plot has a vertical axis numbered from 0 to 15. The box-and-whisker is also vertical. The boxplot labeled &#34;AA&#34; occurs next. The bottom whisker is approximately 0.6, the bottom edge of the box is approximately 2.1, the line inside the box is approximately 4.15, the top edge of the box is approximately 5.75, and the top whisker is approximately 10.8. There are 2 outliers located at 13.6 and 14.8. The boxplot labeled &#34;W&#34; occurs next. The bottom whisker is approximately 1.1, the bottom edge of the box is approximately 1.75, the line inside the box is approximately 4.2, the top edge of the box is approximately 5.7, and the top whisker is approximately 8.4.(d)Write a few sentences comparing the blood lead level distributions for the two samples. (Select all that apply.)Both distributions seem to be negatively skewed.There are two outliers in the data set for the African AmericansThe median blood lead level for the African Americans is slightly lower than for the Whites.The median blood lead level for the African Americans is slightly higher than for the Whites.Both distributions seem to be positively skewed.The distribution for the African Americans shows a greater range than the distribution for the WhitesThe distribution for the Whites shows a greater range than the distribution for the African Americans.

Accepted Answer

Calculate the Sample mean using general formula.................................

Whites (W)	8.3	0.9	2.9	5.6	5.8	5.4	1.2
1.0	1.4	2.1	1.3	5.3	8.4	6.6
5.2	3.4	2.9	2.7	6.7	3.6
African Americans (AA)	4.8	1.4	0.9	10.8	2.4	0.6	5.0
5.4	6.1	2.9	5.0	2.1	7.5	3.4
13.6	1.4	3.7	3.3	14.8	3.9